How many moles of N are in 0.207 g of N₂O?

Answers

Answer 1

Number of moles of N in 0.207 g of N₂O= 0.0094

We are starting with 0.207g of N₂O in this instance. Let's use the molar mass, which is 44.013 g/mol, to convert that to moles.

(1 mol N₂O / 44.013 g N₂O) x 0.207 g

⇒ 0.00470 mol N₂O.

Having reached moles of nitrogen monoxide, we must now determine how many moles of nitrogen there are. We can see that there is a subscript of 2, indicating that there are two moles of nitrogen for every mol of nitrogen dioxide. You might think of it in terms of food; there are two pieces of bread for every sandwich.

In order to obtain moles of N, let's multiply the amount of moles of N₂O by 2.

(2 mol N / 1 mol N₂O )x 0.00470 mol N₂O = 0.0094 mol N.

Hence, Number of moles of N in 0.207 g of N₂O will be 0.0094.

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Related Questions

State how are the elements of a period arranged in the modern periodic table, from left to right.
a:In order of increasing atomic mass
b:In order of increasing atomic number
c:In order of decreasing atomic mass

Answers

Answer: B

Explanation:

The atomic number of an element is the number of protons in the nucleus of an atom of that element. Changing the number of neutrons means you get an isotope of the same element. Changing the number of electrons does not affect the atom but affects the charge of the atom. So the periodic table is arranged by increasing the number of protons or atomic numbers.

Which of the following is NOT a way that chemists use to measure that a reaction has taken place?

Select one:

a.
Changes in the concentrations of reactants and products.


b.
Color change.


c.
By manually counting the actual atoms and molecules in the reaction.


d.
Change in pH.

Answers

Answer: a

Explanation:

i hope is help

The rate of effusion of NH3 is 2.40 mole/min. What would be the rate of effusion of He under the same conditions?

Answers

The rate of effusion of helium under same conditions as that of ammonia  is 4.897 mole/min.

Rate of effusion of ammonia is 0.49 times the effusion of helium.Thus, to find out effusion of helium ,effusion of ammonia is divided by 0.49.

Thus, effusion of helium=effusion of ammonia/0.49

=2.40/0.49

=4.897 mole/min.

What is rate of effusion?

Effusion relates to the ability of gas to travel through a small opening.Rate of effusion of a gaseous substance is inversely proportional to square root of it's molar mass.The relationship between molar mass and rate of effusion is called Graham's law.

Effusion rate directly depends on the average velocity with which a particle moves.Higher the velocity of particles,higher is the effusion rate.

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HELP!!
Calculate the heat absorbed by 50.00 g of iron when its temperature is raised from 10.00 0 C to 60.00 C. The specific heat of iron is 0.449J/g C.​

Answers

Heat absorbed by 50 g of iron is 898 Joule.

Heat transfer between two bodies, which can take place through conduction, convection, or radiation, is referred to as heat absorption.

Specific heat - The amount of heat needed to raise a substance's temperature by one degree Celsius in one gram, also known as specific heat. The units of specific heat are usually expressed in terms of calories or joules per gram per degree Celsius. The specific heat of water, for instance, is 1 calorie (or 4.186 joules) per gram per degree Celsius.

The formula of specific heat-

q = mc ΔT

where Q is heat absorbed, m is mass and ΔT is change in temperature.

m = 50 g

c = 0.449 J/g C

ΔT = 60 - 10

     = 40 °C

∴q = 50 x 0.449 x 40

q = 898 J

Hence, heat absorbed by 50 g of iron is 898 Joule.

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Determine the name for each of the ionic compounds from their formulas.

Be(NO₂)₂

NiPO4

Answers

Answer:

To find the formula of an ionic compound, first identify the cation and write down its symbol and charge. Then, identify the anion and write down its symbol and charge. Finally, combine the two ions to form an electrically neutral compound.

Explanation:

Write the reaction occurring at anode and cathode and the products of
electrolysis of aq KCl.

Answers

Answer:

4OH-→ 2H²O(l) + O² + 4e- (Anode)

2H+ → H²O (l) + 2e- (Cathode)

Explanation:

OH- ions are preferentially discharged at the anode since they have a less positive electrode potential (+0.40V) then chloride ions (+1.36)

H+ ions are preferentially discharged at the cathode since they have a less negative standard electrode potential (0.00) than Potassium (-2.92)

a piece of magnesium in the shape of a cube measures with a height of 5.62 cm. If the magnesium sample has a mass of 14.1 g, what is the density of the sample

Answers

A piece of magnesium in the shape of cube measuring with height of 5.62 cm, and this magnesium sample having mass of 1.41 g has a density of 1.78 g/cm³.

What is Density?

Density is known as the mass of substance per unit volume. Density is denoted by a Greek symbol ρ. Density is equal to the mass substance divided by its volume. The SI unit of Density is g/cm ³or kg/m³.

                                     ρ = m

                                             v

where,

ρ = density

m = mass

v  = volume

Given :

Height of the cylinder is 5.62 cm ,

Diameter of the cylinder is 1.34 cm

Radius = D/2 = 1.34/2 cm

Radius = 0.67 cm

Volume of cylinder = πr²h

Volume of cylinder = 3.14 × (0.67)² × 5.62

                                = 7.92 cm³

 Density =   Mass  

                 Volume

Density = 14.1

                 7.92

 Density = 1.78 g/cm³

Hence, the density of sample = 1.78 g/cm³ .

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What is the mass grams that are in 2.57 × 10¹⁵ molecules of CO?

Answers

1 mole of a substance contains Avagadro number (6.023 * 102) of molecules of that substance.
For example one mole of Carbon Monoxide (CO)
contains Avagadro number (6.023 * 1023)
molecules of CO.
We also know that
1 mole of a substance weighs Gram molecular weight of the substance.
ie one mole of CO weighs 28.01 grams Therefore 6.023 * 102 molecules of CO weighs 28.01 grams
2.57 * 1015 molecules of CO weighs? grams
2.57 * 1015
=
6.023 * 1023 * 28.01g
: 11.9581 * 10-8g
Weight of 2.57*10^{15} molecules of CO is = 11.9581 * 10^-8 g

Hope this helps

Write a balanced molecular equations for the reaction between aqueous lead(II) perchlorate and aqueous sodium chloride. Include phase symbols.

Answers

Answer:

Pb(ClO₄)₂ (aq) + 2 NaCl (aq) -----> 2 NaClO₄ (aq) + PbCl₂ (s)

Explanation:

This chemical reaction is a double-displacement reaction. In these reactions, the cation of one compound is swapped with the cation of another.

So, lead (II) (Pb²⁺) from lead (II) perchlorate (Pb(ClO₄)₂) will be swapped with sodium (Na⁺) from sodium chloride (NaCl). When creating the new compounds, there may need to be more than one ion of a particular type in order to make the overall compound neutral.

An equation is balanced when there is an equal amount of each element on both sides of the reaction. If these amounts are unequal, you can add coefficients to modify the quantities of particular compounds.

The unbalanced reaction:

Pb(ClO₄)₂ (aq) + NaCl (aq) -----> NaClO₄ (aq) + PbCl₂ (s)

Reactants: 1 lead, 3 chlorine, 8 oxygen, 1 sodium

Products: 1 lead, 2 chlorine, 4 oxygen, 1 sodium

The balanced reaction:

Pb(ClO₄)₂ (aq) + 2 NaCl (aq) -----> 2 NaClO₄ (aq) + PbCl₂ (s)

Reactants: 1 lead, 4 chlorine, 8 oxygen, 2 sodium

Products:  1 lead, 4 chlorine, 8 oxygen, 2 sodium

Theories, which often can include models, may
be modified but are rarely discarded completely.
How does the geocentric and heliocentric
models of the solar system demonstrate this?

Answers

The way in which theories and models may be modified but are rarely discarded completely is shown in the geocentric and heliocentric models of the solar system are the fact that similar assumptions were made, but the main difference is the position of the earth and the sun.

What is the Geocentric Model of the Solar System?

This refers to the theory of the solar system that is based on the assumption that the earth is the center of the universe and the planets and sun move around it

What is the Heliocentric Model of the Solar System?

This refers to the theory of the solar system that is based on the assumption that the sun is the central point of the universe and the planets and sun move around it

Hence, The way in which theories and models may be modified but are rarely discarded completely is shown in the geocentric and heliocentric models of the solar system are the fact that similar assumptions were made, but the main difference is the position of the earth and the sun.

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You have a solution of 0.250 M NaCl. If you boil away 2/3 of the volume of water, what is the concentration of this solution in moles?

Answers

The concentration of this solution in moles is 0.75 M.

What is concentration of a solution?

The concentration of a solution is a measure of the amount of solute that has been dissolved in a given amount of solvent or solution.

Mathematically. concentration is given as;

C = n/V

where;

n is the number of molesV is the volume of the solutionC is concentration

At a constant number of moles;

C1V1 = C2V2

When you boil away 2/3 volume, the new volume becomes 1/3

So V1  = V

V2 = 1/3V = 0.3333V

Substitute the given parameters and solve for the new concentration.

C2 = (C1V1)/V2

C2 = (0.25 x V) / (0.3333V)

C2 = 0.75 M

Thus, the concentration of this solution in moles is 0.75 M.

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You have a solution of 0.250 MNaCl. If you boil away 2/3 of the volume of water, what is the concentration of this solution?

Answers

The concentration of the new solution, given that 2/3 of it's initial volume was boiled away is 0.758 M

The following data were obtained from the question:

Concentration of stock solution (M₁) = 0.250 MVolume of stock solution (V₁) = 1 mL Volume of water boiled away = 2/3 = 0.67 mL Volume of new solution (V₂) = 1 - 0.67 = 0.33 mL Concentration of new solution (M₂) =?

How to determine the concentration of the new solution

The molarity of the new solution can be obtained as follow:

M₁V₁ = M₂V₂

0.250 × 1 = M₂ × 0.33

0.250 = M₂ × 0.33

Divide both side by 0.33

M₂ = 0.250 / 0.33

M₂ = 0.758 M

Thus, the concentration of the new solution is 0.758 M

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Perform calculations to determine the amount of 50.0 mM Ca(NO3)2 needed to prepare 20.0 mL of 5.00 mM Ca(NO3)2. Perform calculations to determine the amount of 5.00 mM Ca(NO3)2 needed to prepare 20.0 mL of 1.00 mM Ca(NO3)2. Perform calculations to determine the amount of 1.00 mM Ca(NO3)2 needed to prepare 20.0 mL of 0.250 mM Ca(NO3)2.

Answers

The required volumes are;

1)  2 mL

2)  4 mL

3)  5 mL

What is the amount needed?

Now we know that the dilution formula can be used to obtain the quantity of a solution that could be used in the preparation of another by the use of serial dilution. In this case, we can see that an aliquot of the solution is taken and then made up to mark in order to obtain the concentration that we require as we are trying to carry out the process of the serial dilution.

Now let us try to see how we can be able to prepare the solutions that are required as follows;

To prepare 50mM of of calcium nitrate;

C1V1= C2V2

C1 = initial concentration’

V1 = initial volume

C2 = final concentration

V2 = final volume

C1 = C2V2/C1

C1 = 20.0 mL *  5.00 mM/50mM

C1 = 2 mL

2) 20.0 mL *  1.00 mM/ 5.00 mM

= 4 mL

3) 20.0 mL *  0.250 mM/1.00 mM

= 5 mL

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Ethanol (CH3CH2OH), the intoxicant in alcoholic beverages, is also used to make other organic compounds. In concentrated sulfuric acid, ethanol forms diethyl ether and water:
2CH3CH2OH(l) → CH3CH2OCH2CH3(l) + H2O(g)
In a side reaction, some ethanol forms ethylene and water:
CH3CH2OH(l) → CH2═CH2(g) + H2O(g)
(a) If 54.0 g of ethanol yields 28.8 g of diethyl ether, what is the percent yield of diethyl ether?
%
(b) During the process, 45.0% of the ethanol that did not produce diethyl ether reacts by the side reaction. What mass of ethylene is produced?

Answers

The percent yield of the ether is 66.5% and the mass of ethylene produced is 4.9 g.

What are the products?

We know that in a reaction, we are only able to obtain the parameter of the reactions by the use of stoichiometry. This is the relationship between the reactants and the products in the process.

The reaction is given as shown in the reaction equations in the question above.

Number of moles of ethanol =  54.0 g /46 g/mol = 1.17 moles

Since 2 moles of ethanol yields 1 mole of ether

1.17 moles of ethanol yields 1.17 moles * 1 mole /2 moles

= 0.585 moles

Mass of the ether = 0.585 moles * 74 g/mol = 43.29 g

Percent yield = 28.8 g/ 43.29 g * 100/1

= 66.5 %

Amount of unreacted ethanol = (100 - 66.5)/100 * 1.17 moles = 0.39 moles

Amount that participates in the side reaction  45.0/100 * 0.39 moles = 0.1755 moles

Given that the reaction is 1:1

Mass of ethylene produced = 0.1755 moles * 28 g/mol = 4.9 g of ethylene

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Convert 7.27 m^3 to ft^3

Answers

256.73 ft

Convert 7.27 [tex]m^3[/tex] to[tex]ft^3[/tex]

as per above , we have to convert [tex]m^3[/tex] into [tex]ft^3[/tex]

now:

1 [tex]m^3[/tex] = 35.31  [tex]ft^3[/tex]

7.27 [tex]m^3[/tex] = 35.31 [tex]\times[/tex] 7.27 [tex]m^3[/tex]

               = 256.73 ft

meter cubic and feet both are volumetric unit

Volume is the amount of space an object take upV = Length x Wide x Height is the formula to find the volume of a regular shaped object or 3 dimensional objectCubic Feet is the Volume of a cube is one foot on each sideCubic Meteris the  Volume of a cube is one meter on each side.

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Perform the following operations and express the answers in scientific notation: SHOW YOUR WORK

1) (1.2 * 10^5) + (5.35*10^6)


2) (6.91*10^-2) + (2.4* 10^-3)


3) (9.70*10^6) + (8.3*10^5)

Answers

The given operations are performed

and the expressions are presented

in scientific notation as follows;

1) (1.2 × 10⁵) + (5.35 × 10⁶) = 5.47 × 10⁶

2) (6.91 × 10^(-2) + (2.4 × 10^(-3)) = 7.15 × 10^(-2)

3) (9.70 × 10⁶) + (8.3 × 10⁶) = 1.053 × 10⁷

How can the given operations be performed and results presented in scientific notation?

1) (1.2 × 10⁵) + (5.35 × 10⁶)

(1.2 × 10⁵) + (5.35 × 10⁶) = (1.2 × 10⁵) + (53.5 × 10⁵)

(1.2 × 10⁵) + (53.5 × 10⁵) = (1.2 + 53.5) × 10⁵

(1.2 + 53.5) × 10⁵ = 54.7 × 10⁵

54.7 × 10⁵ = 5.47 × 10⁶

Therefore;

(1.2 × 10⁵) + (5.35 × 10⁶) = 5.47 × 10⁶

2) (6.91 × 10^(-2) + (2.4 × 10^(-3))

(6.91 × 10^(-2) + (2.4 × 10^(-3)) = (69.1 × 10^(-3) + (2.4 × 10^(-3))

(69.1 × 10^(-3) + (2.4 × 10^(-3)) = (69.1 + 2.4) × 10^(-3)

(69.1 + 2.4) × 10^(-3) = 71.5 × 10^(-3)

71.5 × 10^(-3) = 7.15 × 10^(-2)

Therefore;

(6.91 × 10^(-2) + (2.4 × 10^(-3)) = 7.15 × 10^(-2)

3) (9.70 × 10⁶) + (8.3 × 10⁵)

(9.70 × 10⁶) + (8.3 × 10⁵) = (97.0 × 10⁵) + (8.3 × 10⁵)

(97.0 × 10⁵) + (8.3 × 10⁵) = (97.0 + 8.3) × 10⁵

(97.0 + 8.3) × 10⁵ = 105.3 × 10⁵

105.3 × 10⁵ = 1.053 × 10⁷

Therefore;

(9.70 × 10⁶) + (8.3 × 10⁵) = 1.053 × 10⁷

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Consider the following ions: NO2− , CO32− , and ClO4− . For each of these, you should use a Lewis structure that satisfies the octet rule. Which of these ions will exhibit resonance among multiple equivalent Lewis structures that satisfy the octet rule?

Answers

All the species mentioned do have resonance structures.

What is the Lewis structure?

The Lewis structure is an arrangement that shows the number of electrons that are attached to each of the atoms in a compound. In this case, the structure consists of the symbol of the elements and the number of electrons pairs of or odd electrons attached to the element.

Sometimes, a single Lewis structure is insufficient when discussing the properties of a compound. We must then invoke a number of structure which we call the resonance structures.

The the species mentioned in the question do have resonance structures that are obtained by satisfying the octet rule as shown in the images attached to this answer.

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Write 3.0 x 108 in standard form.
A) 30000000
B) 300000000
C) 3000000000
D) 3000000

Answers

It’s B, 3.0 * 10^8 is 300,000,000.

Which type of energy does alpha decay generate?
O kinetic
O potential
O sound
O electromagnetic

Answers

Answer: kinetic or A :)

Explanation: kinetic energy Alpha particles have typical kinetic energy of 5 MeV (or ≈ 0.13% of their total energy 110 TJ/kg) and have a speed of about 15 000 000 m/s or 5% of the speed of light.

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A nurse decides to move from England to India. The nurse currently makes 46,800
Euros as their annual salary. How much is this salary in Indian Rupees every month?
The conversion factor you will need is: 1 Euro = 95.12 Indian Rupees
Indian Rupees per month.
The nurse's salary will be

Answers

First I will calculate one month's salary, one month celery in europe, Which is equal to 46,800 divided by 12. I divide it by 12 because there are 12 months in a year, so it will be equal to €3900. What month? No. Here it is, given that €1 is equal to 95 point duel. So €3900 will be equal to 3900 multiplication, 95.12. Which on simplification I get the value edge 370 968 rupees per month. So this will be the salary in India apartment three Lakh Rs 70968 in Indian currency.

A nurse decides to move from England to India. The nurse currently makes 46,800 Euros as their annual salary. in Indian Rupees every month the nurse's salary will be Rs.  3,70,968

Let us Consider the following given data

The Nurse current salary is 46,800 Euros

We have to find 1 month's salary of the annual .

We know that one year contains 12 months .

Therefore 1 month's  salary = 46,800/12

   =3,900 euros per month

To find: The nurse's salary  every month in Indian rupee

1 Euro = Rs. 95.12

= 3,900 ×Rs.95.12

= Rs.  3,70,968 ( three lakh seventy thousand nine hundred sixty eight rupees in Indian currency .)

The nurse's salary in Indian rupees per month is 3,70,968 rupees

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A rectangular painting has an area of 2890square centimeters. What is its area in square inches? Round to the nearest square inch. Do not include the units in your answer.

Answers

The area of the rectangular painting which is 2890 square centimeters is equivalent to 447.95 square inches

How to convert cm² to in²?

Square inch (in²) is a unit of area equal to the area of a square the sides of which are each one inch long.

Square centimeter (cm²) is another unit of area equal to that of a square of sides 1 centimeter.

The conversion factor of square centimeter to square inches is as follows:

1 square centimetre = 0.155 square inch

2890 square centimeters = 447.95 square inches

Therefore, the area of the rectangular painting which is 2890 square centimeters is equivalent to 447.95 square inches.

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PLEASE HELP THIS IS IMPORTANT!!! I WILL MARK BRAINLIEST
Which plate boundary and movement commonly create volcanoes that can result in the development of habitable islands? Explain how islands can be created by plate tectonics.
PLEASE MAKE ANSWER SIMPLE AND I WILL GIVE LOTS OF POINTS AND MARK BRAINLIEST

Answers

Answer:Which plate boundary and movement commonly create volcanoes that can result in the development of habitable islands?

 Sometimes, the plates collide with one another or move apart. Volcanoes are most common in these geologically active boundaries. The two types of plate boundaries that are most likely to produce volcanic activity are divergent plate boundaries and convergent plate boundaries

Explain how islands can be created by plate tectonics.

Explanation: These hot spots are able to independently melt the tectonic plate above them, creating magma that erupts onto the top of the plate. In hot spots beneath the ocean, the tectonic activity creates a volcanic mound. Over millions of years, volcanic mounds can grow until they reach sea level and create a volcanic island.

2. (01.01 HC)
Describe the role of consumers in a food web. Are consumers heterotrophs? Justify your answer. (7 points)

Answers

Yes the all types of the consumers are the heterotrophs.

What role play the consumers in a food web? Are consumers heterotrophs?

The consumers play a very important role in the ecosystem of the earth by maintaining the population and growth to the organism of the ecosystem. If we remove the consumer or either the producer then the whole system of the ecosystem will be destabilize, and thus the ecosystem can survive from the overpopulation problem and lack of food problem. The other organism can transfer energy to the consumer.

Both the primary (herbivores) and as well as the secondary (carnivores and omnivores) consumers are heterotrophs.

So we can conclude that yes the all types of the consumers are the heterotrophs.

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increasing energy of the molecules of the

Answers

Answer:

If the temperature is increased, the average speed and kinetic energy of the gas molecules increase. If the volume is held constant, the increased speed of the gas molecules results in more frequent and more forceful collisions with the walls of the container, therefore increasing the pressure (Figure 1).

To create water from its component atoms, a bond must form between each of the hydrogens and the oxygen. Given that hydrogen is not able to donate its single electron, how does the water molecule form? Could u simple it after you explain it?

Answers

Given that hydrogen is not able to donate its single electron,  the water molecule forms by the sharing of electrons between two hydrogen atoms and an oxygen atom.

What is Covalent bond?

This is the type of bond which occurs when the electrons of an atom are shared unlike electrovalent bond which is formed when the electrons are transferred from one atom to another.

In this case, since hydrogen can't transfer electron and oxygen needs two electrons to achieve its stable configuration then two hydrogen atoms will share one electron each with the oxygen atom which results in the formation of water.

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o Convert 6.49 x 10-3 m to the equivalent length in nanometers.

Answers

Remember that 1 nanometer is equal to 1 x 109, therefore multiply 6.49 x 10-3 m by 1 x 109 to get the answer. The correct response is 6.49 x 10-3 m = 6.49 x 106 nm.

What are nanometers used for?

The measuring unit known as a nanometer (NM) is one billionth of a meter. It is frequently used as a scale for creating intricate, atomic-scale parts, particularly in nanotechnology.

What dimension does a nanometer have?

How tiny is "nano" exactly? One nanometer is one billionth of a meter since the prefix "nano" in the International System of Units refers to one billionth, or 10-9. Here are some samples to help you visualize how little that is: About 100,000 nanometers make up a sheet of paper.

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How does a physical change take place in making a s’more

Answers

Answer: The Marshmellow

Explanation

The marshmallow turns from a solid to a gooey texture.

The marshmallow would be gooey and melted.

Hydrogen reacts with chlorine according to
the equation:
H₂(g) + Cl₂(g) → 2HCl(g)
What is the total volume of gas present in
the container at the end of the experiment if
100 cm³ of hydrogen is reacted with 200 cm³
of chlorine?

Answers

When the total number of reactants and products are the same in the reaction it is called a balanced chemical equation. The balanced chemical equation of H2+ Cl2   → 2HCl(g)

What is a balanced chemical equation?

When the total number of reactants and products are the same in the reaction it is called a balanced chemical equation. In the given reaction one mole of 70 g of hydrogen reacts with 2 moles of Cl.

100 g of chlorine reacts with 2/ 70 * 100 = 2.86 gram of hydrogen.

70 grams of chlorine will produce 73 g of HCl.

100 gram of chlorine produce 73/ 70 * 100 = 104.28 g of HCl.

Therefore, When the total number of reactants and products are the same in the reaction it is called a balanced chemical equation. The balanced chemical equation of H2+ Cl2   → 2HCl(g).

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Fluorine,chlorine and bromine which one has the strongest base

Answers

Fluorine has the strongest base among fluorine, chlorine and bromine.

Fluorine belongs to the group of halogens.  It is represented with the letter F and has an atomic number 9. Fluorine is the smallest element among the halogens and hence its electrons are attached very strongly with the nucleus. As a result, fluorine has the most tendency to accept electron to complete its valence shell and therefore is the strongest base.

Bases are the molecules or ions that can accept electrons to complete their outer valence shell. This justifies fluorine being the strongest base among halogens. Bases are generally bitter in taste, with a soapy touch. A pH above 7 specifies basicity.

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Perform the following operations and express the answers in scientific notation SHOW YOUR WORK (Part 2):
1) (3.67*10^2)-(1.6*10^1)

2) (8.41*10^-5) - (7.9*10^-6)

3) (1.33*10^5)-(4.9*10^4)

Answers

Taking into account the scientific notation, you obtain:

3.67×10² - 1.6×10¹= 3.51×10² 8.41×10⁻⁵ - 7.9×10⁻⁶= 7.62×10⁻⁵1.33×10⁵ - 4.9×10⁴= 0.84×10⁵

Scientific notation

Scientific notation is a quick way to represent a number using powers of base ten and the numbers are written as a product:

a×10ⁿ

where:

a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.n is an integer, which is called an exponent or an order of magnitude. Represents the number of times the comma is shifted. It is always an integer, positive if it is shifted to the left, negative if it is shifted to the right.Subtraction in scientific notation

You want to subtract two numbers in scientific notation. It should be noted that when the numbers to be added do not have the same base 10 exponent, the base 10 power with the highest exponent must be found.

Then all the values ​​are expressed as a function of the base 10 exponent with the highest exponent.

Taking the quantities to the same exponent, all you have to do is substract what was previously called the number "a". In this case:

In this case:

3.67×10² - 1.6×10¹= 3.67×10² - 0.16×10²= (3.67 -0.16)×10²= 3.51×10² 8.41×10⁻⁵ - 7.9×10⁻⁶= 8.41×10⁻⁵ - 0.79×10⁻⁵= (8.41 -0.79)×10⁻⁵=  7.62×10⁻⁵1.33×10⁵ - 4.9×10⁴= 1.33×10⁵ - 0.49×10⁵= (1.33 - 0.49)×10⁵= 0.84×10⁵

In summary, you obtain:

3.67×10² - 1.6×10¹= 3.51×10² 8.41×10⁻⁵ - 7.9×10⁻⁶= 7.62×10⁻⁵1.33×10⁵ - 4.9×10⁴= 0.84×10⁵

Learn more about operations in scientific notation:

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